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Finding the Fourth Proportional to 9,259.74, 13,873.40 and 7,709.70

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Solution

The fourth proportional to 9,259.74, 13,873.40 and 7,709.70 is: 11,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.74 : 13,873.40 = 7,709.70 : x
  2. Step 2: Convert to fraction form
    9,259.74/13,873.40 = 7,709.70/x
  3. Step 3: Cross multiply
    9,259.74x = 13,873.40 × 7,709.70
  4. Step 4: Simplify right side
    9,259.74x = 106,959,751.98
  5. Step 5: Solve for x
    x = 106,959,751.98/9,259.74
  6. Step 6: Final answer
    x = 11,551.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.